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Diketahui suatu partikel bergerak dengan percepatan begin mathsize 14px style a left parenthesis t right parenthesis equals t squared plus 1 end style dan kecepatan begin mathsize 14px style v left parenthesis 0 right parenthesis equals 0 end style. Tentukan rumus kecepatan begin mathsize 14px style v left parenthesis t right parenthesis end style jika begin mathsize 14px style a left parenthesis t right parenthesis equals fraction numerator d v over denominator d t end fraction end style.

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A. Damanhuri

Master Teacher

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Pembahasan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell a left parenthesis t right parenthesis end cell equals cell fraction numerator d v over denominator d t end fraction end cell row blank blank cell v open parentheses t close parentheses equals integral a left parenthesis t right parenthesis d t equals integral t squared plus 1 d t v open parentheses t close parentheses equals space space t cubed over 3 plus t plus c comma space text dengan end text space c space text konstanta  end text end cell end table end style 

Karena begin mathsize 14px style v open parentheses 0 close parentheses equals 0 end style, maka

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Jadi, begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank v end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis t right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell t cubed over 3 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank t end table end style 

 

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